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9 January, 08:17

With each bounce off the floor, a tennis ball loses 18% of its mechanical energy due to friction. When the ball is released from a height of 2.9 m above the floor, what height will it reach after the fourth bounce?

170 cm

130 mm

130 cm

13 cm

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Answers (1)
  1. 9 January, 08:23
    0
    130 cm

    Explanation:

    After each bounce, the mechanical energy decreases by 18%, which means the maximum height decreases by 18%. Modeling this as exponential decay:

    h = 290 (1 - 0.18) ⁿ

    h = 290 (0.82) ⁿ

    h = 290 (0.82) ⁴

    h = 130

    The ball reaches a height of 130 cm.
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